When a high-speed passenger train traveling at 161 km/h rounds a bend, the engineer is shocked to see
that a locomotive has improperly entered onto the track from a siding and is a distance 𝐷=676 m ahead
(Fig. 2-32). The locomotive is moving at 29.0 km/h. The engineer of the high-speed train immediately
applies the brakes. (a) What must be the magnitude of the resulting constant deceleration if a collision is
to be just avoided? (b) Assume that the engineer is at 𝑥=0when, at 𝑡=0, he first spots the locomotive.
Sketch 𝑥(𝑡)curves for the locomotive and high-speed train for the cases in which a collision is just
avoided and is not quite avoided
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